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Finding the Third Proportional to 159,988 and 345,634

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Solution

The third proportional to 159,988 and 345,634 is: 746,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,988 : 345,634 = 345,634 : x
  2. Step 2: Convert to fraction form
    159,988/345,634 = 345,634/x
  3. Step 3: Cross multiply
    159,988x = 345,634 × 345,634
  4. Step 4: Simplify right side
    159,988x = 119,462,861,956
  5. Step 5: Solve for x
    x = 119,462,861,956/159,988
  6. Step 6: Final answer
    x = 746,698.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.